Fast exact/quasi-exact FBP algorithms for triple-source helical cone-beam CT

IEEE Transactions on Medical Imaging

Volumn 29, Issue 3, 2010, Pages 756-770

  Lu, Yang ^a   Katsevich, Alexander ^b   Zhao, Jun ^a   Yu, Hengyong ^c   Wang, Ge ^c  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b UNIVERSITY OF CENTRAL FLORIDA   (United States)

^c VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Cardiac CT; Computed tomography (CT); Cone beam CT (CBCT); Filtered backprojection (FBP); Triple source

Indexed keywords

CARDIAC CT; COMPUTED TOMOGRAPHY; CONEBEAM CT; FILTERED BACK-PROJECTION; TRIPLE-SOURCES;

ALGORITHMS; HEART; NUMERICAL ANALYSIS; SCANNING;

COMPUTERIZED TOMOGRAPHY;

ALGORITHM; ARTICLE; COMPUTER SIMULATION; CONE BEAM COMPUTED TOMOGRAPHY; IMAGE PROCESSING; IMAGE QUALITY; METHODOLOGY; THEORETICAL MODEL;

ALGORITHMS; COMPUTER SIMULATION; CONE-BEAM COMPUTED TOMOGRAPHY; IMAGE PROCESSING, COMPUTER-ASSISTED; MODELS, THEORETICAL; PHANTOMS, IMAGING;

EID: 77749264385     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2009.2035617     Document Type: Article

References (22)

1. G. Wang, C. R. Crawford, and W. A. Kalender, "Guest Editorial: Mul-tirow detector and cone-beam spiral/helical CT," IEEE Trans. Med. Imag., vol.19, no.9, pp. 817-821, Sep. 2000.
2. T. G. Flohr, C. H. McCollough, H. Bruder, M. Petersilka, K. Gruber, C. Süß, M. Grasruck, K. Stierstorfer, B. Krauss, and R. Raupach, "First performance evaluation of a dual-source CT (DSCT) system," Eur. Ra-diol., vol.16, pp. 256-268, 2006.
3. M. Kachelrieß, M. Knaup, and W. A. Kalender, "Multithreaded cardiac CT," Med. Phys., vol.33, pp. 2435-2447, 2006.
4. M. Vannier and G. Wang, "Spiral CT refines imaging of temporal bone disorders," Diagnostic Imag., vol.15, pp. 116-121, 1993.
5. G. Wang, S. Zhao, H. Yu, C. Miller, P. Abbas, B. Gantz, S. Lee, and J. Rubinstein, "Design, analysis and simulation for development of the first clinical micro-CT scanner1," Academic Radiol., vol.12, pp. 511-525, 2005.
6. G. Wang, T.-H. Lin, P.-C. Cheng, and D. M. Shinozaki, "A general cone-beam reconstruction algorithm," IEEE Trans. Med. Imag., vol.12, no.3, pp. 486-496, Sep. 1993.
7. A. Katsevich, "Theoretically exact filtered backprojection-type inversion algorithm for spiral CT," SIAM J. Appl. Math., vol.62, pp. 2012-2026, 2002.
8. S. S.Orlov, "Theory of three-dimensional reconstruction. 1.Conditions of a complete set of projections," Sov. Phys. Crystallogr., vol.20, pp. 312-314, 1975.
9. I. Gel'fand and M. Graev, "Crofton's function and inversion formulas in real integral geometry," Functional Anal. Its Appl., vol.25, pp. 1-5, 1991.
10. H. Rullgård, "An explicit inversion formula for the exponential Radon transform using data from 180," Arkiv för Matematik, vol.42, pp. 353-362, 2004.
11. G. Wang, Y. Ye, and H. Yu, "Approximate and exact cone-beam reconstruction with standard and non-standard spiral scanning," Phys. Med. Biol., vol.52, pp. 1-13, 2007.
12. J. Zhao, M. Jiang, T. Zhuang, and G. Wang, "An exact reconstruction algorithm for triple-source helical cone-beam CT," J. X-ray Sci. Technol., vol.14, pp. 191-206, 2006. (Pubitemid 44359478)
13. J. Zhao, Y. Jin, Y. Lu, and G. Wang, "A filtered backprojection algorithm for triple-source helical cone-beam CT," IEEE Trans. Med. Imag., vol.28, no.3, pp. 384-393, Mar. 2009.
14. J. Zhao, M. Jiang, T. Zhuang, and G. Wang, "Minimum detection window and inter-helix PI-line with triple-source helical cone-beam scanning," J. X-ray Sci. Technol., vol.14, pp. 95-107, 2006.
15. F. Noo, J. Pack, and D. Heuscher, "Exact helical reconstruction using native cone-beam geometries," Phys. Med. Biol., vol.48, pp. 3787-3818, 2003.
16. A. Katsevich, "A general scheme for constructing inversion algorithms for cone-beam CT," Int. J. Math. Math. Sci., vol.21, pp. 1305-1321, 2003.
17. A. Katsevich, "3PI algorithms for helical computer tomography," Adv. Appl. Math., vol.36, pp. 213-250, 2006.
18. M. Kapralov and A. Katsevich, "A one-PI algorithm for helical trajectories that violate the convexity condition," Inverse Problems, vol.22, pp. 2123-2143, 2006.
19. M. Kapralov and A. Katsevich, "On the study of 1PI algorithms for a general class of curves," SIAM J. Imag. Sci., vol.1, pp. 418-459, 2008.
20. H. Yu and G. Wang, "Studies on implementation of the Katsevich algorithm for spiral cone-beam CT," J. X-ray Sci. Technol., vol.12, pp. 97-116, 2004.
21. Y. Ye, H. Yu, Y. Wei, and G. Wang, "A general local reconstruction approach based on a truncated Hilbert transform," Int. J. Biomed. Imag., vol.2007, p. 63634, 2007.
22. H. Kudo, M. Courdurier, F. Noo, and M. Defrise, "Tiny a priori knowledge solves the interior problem in computed tomography," Phys. Med. Biol., vol.53, pp. 2207-2231, 2008.